ln(x-3)-ln(x+4)=3

Solution for ln(x-3)-ln(x+4)=3 equation:

Simplifying
ln(x + -3) + -1ln(x + 4) = 3

Reorder the terms:
ln(-3 + x) + -1ln(x + 4) = 3
(-3 * ln + x * ln) + -1ln(x + 4) = 3
(-3ln + lnx) + -1ln(x + 4) = 3

Reorder the terms:
-3ln + lnx + -1ln(4 + x) = 3
-3ln + lnx + (4 * -1ln + x * -1ln) = 3
-3ln + lnx + (-4ln + -1lnx) = 3

Reorder the terms:
-3ln + -4ln + lnx + -1lnx = 3

Combine like terms: -3ln + -4ln = -7ln
-7ln + lnx + -1lnx = 3

Combine like terms: lnx + -1lnx = 0
-7ln + 0 = 3
-7ln = 3

Solving
-7ln = 3

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Divide each side by '-7n'.
l = -0.4285714286n-1

Simplifying
l = -0.4285714286n-1